I have prepared a cathode electrode for a lithium-ion battery in the lab. How can I check its conductivity/resistivity to verify whether it is a cathode?
The resistance of the electrode is not difficult to measure, but that will not tell you whether it will act as an effective cathode in your Li-ion cell.
To quantify electronic resistance in an electrode, most people use a 4-point probe setup with a sensitive ohmmeter, though this will measure in-plane resistance. You can use a regular ohmmeter to quantify through-resistance by preparing a thicker electrode, if that's what you're looking for.
Concerning the interfacial resistance between your electrode and an electrolyte, that is best determined with impedance spectroscopy, and it is dependent on a plethora of variables. If you're actually interested in whether your electrode material is a usable cathode, that depends on your metric (most people seem to care only about specific capacity in the first few charge/discharge cycles).
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